现代图论pdf电子书版本下载

点此进入-本书在线PDF格式电子书下载【推荐-云解压-方便快捷】直接下载PDF格式图书。移动端-PC端通用
种子下载[BT下载速度快] 温馨提示：（请使用BT下载软件FDM进行下载）软件下载地址页 直链下载[便捷但速度慢]   [在线试读本书]   [在线获取解压码]

现代图论PDF格式电子书版下载

下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。

建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如 BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！

（文件页数 要大于 标注页数，上中下等多册电子书除外）

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

ⅠFundamentals 1

Ⅰ．1 Definitions 1

Ⅰ．2 Paths,Cycles,and Trees 8

Ⅰ．3 Hamilton Cycles and Euler Circuits 14

Ⅰ．4 Planar Graphs 20

Ⅰ．5 An Application of Euler Trails to Algebra 25

Ⅰ．6 Exercicses 28

Ⅸ．6 Notes 33

Ⅱ．1 Graphs and Electrical Networks 39

ⅡElectrical Networks 39

Ⅱ．2 Squaring the Square 46

Ⅱ．3 Vector Spaces and Matrices Associated with Graphs 51

Ⅱ．4 Exercises 58

Ⅱ．5 Notes 66

Ⅲ Flows, Connectivity and Matching 67

Ⅲ．1 Flows in Directed Graphs 68

Ⅲ．2 Connectivity and Menger s Theorem 73

Ⅲ．3 Matching 76

Ⅲ．4 Tutte s 1-Factor Theorem 82

Ⅲ．5 Stable Matchings 85

Ⅲ．6 Exercises 91

Ⅲ．7 Notes 101

Ⅳ Extremal Problems 103

Ⅳ．1 Paths and Cycles 104

Ⅳ．2 Complete Subgraphs 108

Ⅳ．3 Hamilton Paths and Cycles 115

Ⅳ．4 The Structure of Graphs 120

Ⅳ．5 Szemerédi s Regularity Lemma 124

Ⅳ．6 Simple Applications of Szemerédi s Lemma 130

Ⅳ．7 Exercises 135

Ⅳ．8 Notes 142

Ⅴ Colouring 145

Ⅴ．1 Vertex Colouring 146

Ⅴ．2 Edge Colouring 152

Ⅴ．3 Graphs on Surfaces 154

Ⅴ．4 List Colouring 161

Ⅴ．5 Perfect Graphs 165

Ⅴ．6 Exercises 170

Ⅴ．7 Notes 177

Ⅵ Ramsey Theory 181

Ⅵ．1 The Fundamental Ramsey Theorems 182

Ⅵ．2 Canonical Ramsey Theorems 189

Ⅵ．3 Ramsey Theory For Graphs 192

Ⅵ．4 Ramsey Theory for Integers 197

Ⅵ．5 Subsequences 205

Ⅵ．6 Exercises 208

Ⅵ．7 Notes 213

Ⅶ Random Graphs 215

Ⅶ．1 The Basic Models-The Use of the Expectation 216

Ⅶ．2 Simple Properties of Almost All Graphs 225

Ⅶ．3 Almost Determined Variables-The Use of the Variance 228

Ⅶ．4 Hamilton Cycles-the Use of Graph Theoretic Tools 236

Ⅶ．5 The Phase Transition 240

Ⅶ．6 Exercises 246

Ⅶ．7 Notes 251

Ⅷ Graphs,Groups and Matrices 253

Ⅷ．1 Cayley and Schreier Diagrams 254

Ⅷ．2 The Adjacency Matrix and the Laplacian 262

Ⅷ．3 Strongly Regular Graphs 270

Ⅷ．4 Enumeration and Pólya s Theorem 276

Ⅷ．5 Exercises 283

Ⅸ Random Walks on Graphs 295

Ⅸ．1 Electrical Networks Revisited 296

Ⅸ．2 Electrical Networks and Random Walks 301

Ⅸ．3 Hitting Times and Commute Times 309

Ⅸ．4 Conductance and Rapid Mixing 319

Ⅸ．5 Exercises 327

ⅩThe Tutte Polynomial 335

Ⅹ．1 Basic Properties of the Tutte Polynomial 336

Ⅹ．2 The Universal Form of the Tutte Polynomial 340

Ⅹ．3 The Tutte Polynomial in Statistical Mechanics 342

Ⅹ．4 Special Values of the Tutte Polynomial 345

Ⅹ．5 A Spanning Tree Expansion of the Tutte Polynomial 350

Ⅹ．6 Polynomials of Knots and Links 358

Ⅹ．7 Exercises 371

Ⅹ．8 Notes 377

Symbol Index 379

Name Index 383

Subject Index 387